Global existence and optimal decay rate for the strong solutions in H-2 to the compressible Navier-Stokes equations

作者：Wang Yanjin^*; Tan Zhong

来源：Applied Mathematics Letters, 2011, 24(11): 1778-1784.

DOI：10.1016/j.aml.2011.04.028

• Navier-Stokes equations
• Strong solutions
• Optimal decay rates
• Energy estimates

We prove the global existence of a unique strong solution to the compressible Navier-Stokes equations when the initial perturbation is small in H-2. If further that the L-1 norm of initial perturbation is finite, we prove the optimal L-2 decay rates for such a solution and its first-order spatial derivatives.

• 出版日期2011-11
• 单位厦门大学